{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","description":"This cluster of papers covers topics in model theory, topological dynamics, and their applications to homogeneous structures, o-minimal structures, large cardinals, and forcing axioms. It explores the interactions between abstract elementary classes, definable sets, and automorphism groups, with connections to Ramsey theory and the structure of compact groups.","keywords":[{"id":"https://openalex.org/keywords/set-theory","display_name":"set theory","score":0.3885},{"id":"https://openalex.org/keywords/topological-space","display_name":"topological spaces","score":0.5953},{"id":"https://openalex.org/keywords/model-theory","display_name":"model theory","score":0.5459},{"id":"https://openalex.org/keywords/point-set-topology","display_name":"general topology","score":0.6634},{"id":"https://openalex.org/keywords/descriptive-set-theory","display_name":"descriptive set theory","score":0.7047},{"id":"https://openalex.org/keywords/cardinal-invariants","display_name":"cardinal invariants","score":0.865},{"id":"https://openalex.org/keywords/continuum-hypothesis","display_name":"continuum hypothesis","score":0.6923},{"id":"https://openalex.org/keywords/consistency-strength","display_name":"consistency strength","score":0.9233},{"id":"https://openalex.org/keywords/topological-groups","display_name":"topological groups","score":0.344},{"id":"https://openalex.org/keywords/axiom-of-choice","display_name":"axiom of choice","score":0.6334},{"id":"https://openalex.org/keywords/large-cardinals","display_name":"large cardinals","score":0.9285},{"id":"https://openalex.org/keywords/continuum-theory","display_name":"continuum theory","score":0.4266},{"id":"https://openalex.org/keywords/combinatorial-set-theory","display_name":"combinatorial set theory","score":0.753},{"id":"https://openalex.org/keywords/generalized-open-sets","display_name":"generalized open sets","score":0.847},{"id":"https://openalex.org/keywords/ultrafilters","display_name":"ultrafilters","score":0.6502},{"id":"https://openalex.org/keywords/forcing","display_name":"forcing","score":0.5543},{"id":"https://openalex.org/keywords/cardinality","display_name":"cardinality","score":0.3472},{"id":"https://openalex.org/keywords/separation-axioms","display_name":"separation axioms","score":0.6067},{"id":"https://openalex.org/keywords/generalized-closed-sets","display_name":"generalized closed sets","score":0.8078},{"id":"https://openalex.org/keywords/forcing-axioms","display_name":"forcing axioms","score":0.9631},{"id":"https://openalex.org/keywords/stone-cech-compactification","display_name":"Stone-\u010cech compactification","score":0.7122},{"id":"https://openalex.org/keywords/product-spaces","display_name":"product spaces","score":0.3218},{"id":"https://openalex.org/keywords/axiomatic-set-theory","display_name":"axiomatic set theory","score":0.6255},{"id":"https://openalex.org/keywords/dimension-theory","display_name":"dimension theory","score":0.4213},{"id":"https://openalex.org/keywords/consistency-results","display_name":"consistency results","score":0.9111}],"legacy_keywords":"Model Theory; Topological Dynamics; Homogeneous Structures; O-Minimal Structures; Large Cardinals; Forcing Axioms; Abstract Elementary Classes; Definable Sets; Automorphism Groups; Ramsey Theory","ids":{"openalex":"https://openalex.org/T11151","wikipedia":"https://en.wikipedia.org/wiki/Model_theory"},"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"},"siblings":[{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory"},{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models"},{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology"},{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications"},{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis"},{"id":"https://openalex.org/T11822","display_name":"Analytic and geometric function theory"},{"id":"https://openalex.org/T12351","display_name":"Geometry and complex manifolds"},{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems"},{"id":"https://openalex.org/T12417","display_name":"Morphological variations and asymmetry"},{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications"}],"works_count":113227,"cited_by_count":717109,"works_api_url":"https://api.openalex.org/works?filter=topics.id:T11151","updated_date":"2026-10-19T03:01:26","created_date":"2024-01-23T15:27:09"}